GCF of 4470/427, 6340/8213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4470/427, 6340/8213 i.e 10/3506951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4470/427, 6340/8213.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4470/427,6340/8213?
Given fractions are 4470/427,6340/8213
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4470/427,6340/8213, numerators are 4470,6340
Denominators are 427,8213
The GCF of 4470,6340 is 10 .
LCM of 427,8213 is 3506951.
The greatest common factor of 4470/427,6340/8213 = [GCF of 4470,6340]/[LCM of 427,8213]= 10/3506951
Therefore, the GCF of 4470/427,6340/8213 is 10/3506951.
To find the highest common factor of 4470,6340, we have to find the factors of both numbers and list the highest common factor.
The factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The HCF of 4470,6340 is 10.
Lets's calculate GCF of 4470,6340
| 2 | 4470, 6340 |
| 5 | 2235, 3170 |
| 447, 634 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4470,6340 By Matching Biggest Common Factor Method
Now, list down the factors of 4470
:1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Greatest Common Factor
We found the factors 4470,6340 . The biggest common factor number is the GCF number.
So the greatest common factor 4470,6340 is 10.
Lets's calculate LCM of 427,8213
Given numbers has no common factors except 1. So, there LCM is their product i.e 3506951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3506951
Therefore, the GCF of Fractions 4470/427,6340/8213 is 10/3506951
Least Common Multiple of 427,8213 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 427,8213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,8213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,8213) x common factors =1 x 1 = 1
LCM(427,8213) = ( 427 × 8213 ) / 1
LCM(427,8213) = 3506951 / 1
LCM(427,8213) = 3506951
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FAQs on GCF of Fractions of 4470/427, 6340/8213
1. What is the HCF of 4470,6340?
The HCF of 4470,6340 is 10
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4470/427, 6340/8213?
Answer: GCF of Numerators as per given numbers 4470/427, 6340/8213 is
GCF of Numerators i.e. for 4470,6340 is 10
LCM of denominators i.e. for 427,8213 is 3506951.
Thus, GCF of Fractions is 10/3506951.Finally, GCF of Fractions for 4470/427, 6340/8213 is 10/3506951.